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Finding the Third Proportional to 263,486.25 and 394,510.50

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Solution

The third proportional to 263,486.25 and 394,510.50 is: 590,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,486.25 : 394,510.50 = 394,510.50 : x
  2. Step 2: Convert to fraction form
    263,486.25/394,510.50 = 394,510.50/x
  3. Step 3: Cross multiply
    263,486.25x = 394,510.50 × 394,510.50
  4. Step 4: Simplify right side
    263,486.25x = 155,638,534,610.25
  5. Step 5: Solve for x
    x = 155,638,534,610.25/263,486.25
  6. Step 6: Final answer
    x = 590,689.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.